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Finding the Fourth Proportional to 82,568.56, 113,971.80 and 48,576.64

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Solution

The fourth proportional to 82,568.56, 113,971.80 and 48,576.64 is: 67,051.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,568.56 : 113,971.80 = 48,576.64 : x
  2. Step 2: Convert to fraction form
    82,568.56/113,971.80 = 48,576.64/x
  3. Step 3: Cross multiply
    82,568.56x = 113,971.80 × 48,576.64
  4. Step 4: Simplify right side
    82,568.56x = 5,536,367,098.75
  5. Step 5: Solve for x
    x = 5,536,367,098.75/82,568.56
  6. Step 6: Final answer
    x = 67,051.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.